I have several .38 S&W handguns that I like to shoot. Unfortunately, my usual Bullseye and Unique powders are not currently available. I was able to find some Titegroup, however there is very little data available on using it to load the .38 S&W.
I was unable to find information using the Search function. I've been using Missouri Bullet's 145gr LRN bullets.

Does anyone have any tested loadings?

My loads are only tested on targets but here's a few of my favorites. For a .38 spl load 3.8gr with a 148gr Keith style bullet works fantastic in all my guns. I also load a158gr Rainier over 4.0gr in .357mag cases and it's very accurate. I would think a low power load like this would also work in a .38spl case.

My Lyman #49 gives for the 150 grain, #2 alloy three-banded bullet as 2.0 - 2.2 grains Titegroup.

Again please verify. People on forums can and do make mistakes.

I'd get a Lyman book.

Hodgdon's website only gives 2 powders for this cartridge and neither of them are Titegroup.

My Lyman #4 Cast Bullet manual shows 2.0-2.2 grs TG. with a 150 gr
bullet.

mi2600, how to you feel about a 6 to 7 hour drive to pick up powder. Because I know of a shop that had both Unique and Bullseye on the shelf on July 5, 2014. Since they don't sell on the Net chances are fairly good they will still have some Bullseye and a near certainty they have Unique. Due to the long drive involved I would suggest calling ahead and can assure you that they will set aside a specific powder and amount they have in stock for a customer driving to them. Because they've done it for me.

The shop is Fin, Feather, & Fur in Ashland, Ohio and the following link will give you their phone numbers. BTW, the store in Ashland is actually closer than the store in the Cleveland area, Ohio Route 250 cuts a diagonal straight down to Ashland. Note, as a former resident of Shelby, Ohio I know of some useful shortcuts. Take the Ohio Turnpike to exit 91 (Port Clinton, Freemont) and go south on Ohio Route 53 for two miles to US 20. Take US Route 20 east for about 28 or so miles to Ohio Route 250 South (you will be turning south, 250 goes south and east). There is a bridge being re-constructed on 250 at one point but the detour only adds about 2 miles so just follow the signs. Stay on 250 until just past interstate 71 and look for the Fin on the left about a mile past I-71. BTW, using US 20 saves about 8 miles and going through Norwalk on Rt. 250 so it is a time saver even if the speed limit is lower. In addition you'll see some very pretty towns on US 20. Once there go down to the basement and you will find reloaders heaven. About the only failing of the Fin in regards to reloading is that they aren't a Dillon dealer, other than that they have almost anything you could possibly need. Note, Ashland is a college town so there are plenty of motels in town if you want to stay overnight. I will also note that the Sportmen's Den in Shelby, Ohio is only 18 miles east of Rt. 96 and they offer another great selection of powders slightly geared more towards shotgun shooters. When I make the drive I go on a Saturday and hit the Fin first and the Den on the way home. (Rt. 61 N out of Shelby passes the Sportsmans Den and takes you back to US 20).

Fin, Feather and Fur Outfitters

Sportsmans Den

Myself I load 3.4 to 3.6 grains of Titegroup in 38 spl cases with 158 grain LSWC. For me it shoots 1-1/2" to 2" groups at 10 yards.

Hodgdon page shows 3.5 to 4.0 grains with a 146 grain JHP.

Set your sights on pistol reloading data | Hodgdon Reloading

Red Dot is a great replacement for Bullseye.
I started using it because I had less than a pound of BE left and couldn't find any more.
The "Dot" powders were everywhere, so I looked up load data for all of them, stocked up on Red Dot, and went to town.

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What would Jim Cirillo do?

I'm sorry I can't help you with Titegroup because i have never used it in the 38 S&W. I will warn you though, the amount of powder you can see in the bottom of the case will not allow you to know if you double charge or not so be very careful with that powder.

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SWCA #3437

I believe the OP is talking about the .38 S&W and NOT the .38 Special. The .38 S&W has a much shorter case and a slightly bigger bullet diameter.

Presuming the OP actually meant .38 S&W ( aka .38 Colt NP) , and not .38spl , I don't have any Titegroup data.

There is lots of data for Red Dot and Green Dot from back in the day ( primarily for modern swing out frame revolvers).

Join loaddata.com. Lots of good info there. Has most of the manuals. And info from many magazines. Well worth the money.

I missed the .38 S&W designation. Hence the lighter loads recommended by those that can read.